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Finding the Fourth Proportional to 98.08, 135.29 and 71.91

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Solution

The fourth proportional to 98.08, 135.29 and 71.91 is: 99.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.08 : 135.29 = 71.91 : x
  2. Step 2: Convert to fraction form
    98.08/135.29 = 71.91/x
  3. Step 3: Cross multiply
    98.08x = 135.29 × 71.91
  4. Step 4: Simplify right side
    98.08x = 9,728.88
  5. Step 5: Solve for x
    x = 9,728.88/98.08
  6. Step 6: Final answer
    x = 99.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.